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Finding the Fourth Proportional to 15,746, 21,729.48 and 8,672.40

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Solution

The fourth proportional to 15,746, 21,729.48 and 8,672.40 is: 11,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746 : 21,729.48 = 8,672.40 : x
  2. Step 2: Convert to fraction form
    15,746/21,729.48 = 8,672.40/x
  3. Step 3: Cross multiply
    15,746x = 21,729.48 × 8,672.40
  4. Step 4: Simplify right side
    15,746x = 188,446,742.35
  5. Step 5: Solve for x
    x = 188,446,742.35/15,746
  6. Step 6: Final answer
    x = 11,967.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.